Apparatus and Method to Detect Coordinates in a Pen-Based Display Device

1. A method of detecting coordinates of a position of an electronic pen on a display based on a plurality of pixel groups arranged on the display, the method comprising: capturing an image of a pixel group corresponding to a specific position through a camera provided in the electronic pen, when the electronic pen points to the specific position on the display; detecting a reference point in the pixel group by processing the captured image of the pixel group and determining values of a plurality of coordinate indications and a plurality of parity indications corresponding to the position of the pixel group; determining whether an error has been detected in the determined values of the plurality of coordinate indications by applying a predetermined error detection formula to the determined values of the plurality of coordinate indications and the plurality of parity indications; and determining final coordinates of the electronic pen by applying a predetermined coordinates calculation rule to the determined values of the plurality of coordinate indications, when no error has been detected in the determined values of the plurality of coordinate indications, wherein the error detection formula is based on a parity generation formula that generates the plurality of parity indications, the parity generation formula includes at least one parity indication calculation equation which includes a X-coordinate indication and a Y-coordinate indication.

2. The method of claim 1 , wherein the plurality of coordinate indications and the plurality of parity indications have predetermined patterns defined as predetermined values, and wherein the determination of the values of the plurality of coordinate indications and the plurality of parity indications comprises determining the predetermined values corresponding to the predetermined patterns of the plurality of coordinate indications and the plurality of parity indications as the values of the plurality of coordinate indications and the plurality of parity indications.

3. The method of claim 2 , wherein the determination of whether an error has been detected comprises determining that an error has been detected, when the determined values of the plurality of coordinate indications and the plurality of parity indications do not satisfy the error detection formula.

4. The method of claim 2 , wherein the parity generation formula includes a plurality of parity indication calculation equations corresponding to the plurality of parity indications, and each of the parity indication calculation equations includes at least two of the plurality of coordinate indications.

5. The method of claim 4 , wherein, when an error is generated in at least one coordinate indication, at least one of values of the plurality of parity indications calculated by the parity generation formula is different from the determined value of a parity indication.

7. The method of claim 5 , wherein each of the parity indication calculation equations included in the parity generation formula includes all of the plurality of coordinate indications, and wherein, when as many errors as the number of the plurality of parity indications are generated and one of the errors is generated in one of the plurality of the coordinate indications, at least one of the values of the plurality of parity indications calculated by the parity generation formula is different from the determined value of a parity indication.

9. The method of claim 1 , wherein, when an error has been detected in the determined values of the plurality of coordinate indications and the plurality of parity indications, further comprising: determining whether the detected error is correctable; and correcting the determined values of the plurality of coordinate indications according to a predetermined error correction rule, when the detected error is correctable, and determining the final coordinates of the electronic pen by applying the predetermined coordinates calculation rule to the corrected values of the plurality of coordinate indications.

10. A method of detecting coordinates of a position of an electronic pen on a display based on a plurality of pixel groups arranged on the display, the method comprising: receiving from the electronic pen an image of a pixel group corresponding to a specific position captured through a camera provided in the electronic pen, when the electronic pen points to the specific position on the display and detecting a reference point in the pixel group by processing the captured image of the pixel group; determining values of a plurality of coordinate indications and a plurality of parity indications corresponding to the position of the pixel group; determining whether an error has been detected in the determined values of the plurality of coordinate indications by applying a predetermined error detection formula to the determined values of the plurality of coordinate indications and the plurality of parity indications; and determining final coordinates of the electronic pen by applying a predetermined coordinates calculation rule to the determined values of the plurality of coordinate indications, when no error has been detected in the determined values of the coordinate indications, wherein the error detection formula is based on a parity generation formula that generates the plurality of parity indications, the parity generation formula includes at least one parity indication calculation equation which includes a X-coordinate indication and a Y-coordinate indication.

11. The method of claim 10 , wherein the plurality of coordinate indications and the plurality of parity indications have predetermined patterns defined as predetermined values, and wherein the determination of the values of the plurality of coordinate indications and the plurality of parity indications comprises determining the predetermined values corresponding to the predetermined patterns of the plurality of coordinate indications and the plurality of parity indications as the values of the plurality of coordinate indications and the plurality of parity indications.

12. The method of claim 11 , wherein the determination of whether an error has been detected comprises determining that an error has been detected, when the determined values of the plurality of coordinate indications and the plurality of parity indications do not satisfy the error detection formula.

13. The method of claim 11 , wherein the parity generation formula includes a plurality of parity indication calculation equations corresponding to the plurality of parity indications, and each of the parity indication calculation equations includes at least two of the plurality of coordinate indications.

14. The method of claim 13 , wherein, when an error is generated in at least one coordinate indication, at least one of values of the plurality of parity indications calculated by the parity generation formula is different from the determined value of a parity indication.

16. The method of claim 14 , wherein each of the parity indication calculation equations included in the parity generation formula includes all of the plurality of coordinate indications, and wherein, when as many errors as the number of the plurality of parity indications are generated and one of the errors is generated in one of plurality of the coordinate indications, at least one of the values of the plurality of parity indications calculated by the parity generation formula is different from the determined value of a parity indication.

18. The method of claim 10 , wherein, when an error has been detected in the determined values of the plurality of coordinate indications and the plurality of parity indications, further comprising: determining whether the detected error is correctable; and correcting the determined values of the plurality of coordinate according to a predetermined error correction rule, when the detected error is correctable, and determining the final coordinates of the electronic pen by applying the predetermined coordinates calculation rule to the corrected values of the plurality of coordinate indications.

19. An apparatus to detect coordinates of a position on a display based on a plurality of pixel groups arranged on the display, the apparatus comprising: a camera unit configured to capture an image of a pixel group corresponding to a specific position, when an electronic pen points to the specific position on the display; a recognizer configured to: detect a reference point in the pixel group by processing the captured image of the pixel group, and determine values of a plurality of coordinate indications and a plurality of parity indications corresponding to the position of the pixel group; an error detection and correction unit configured to: determine whether an error has been detected in the determined values of the plurality of coordinate indications by applying a predetermined error detection formula to the determined values of the plurality of coordinate indications and the plurality of parity indications, and output the determined values of the plurality of coordinate indications, when no error has been detected in the determined values of the plurality of coordinate indications; and a coordinates decider configured to determine final coordinates of the electronic pen by applying a predetermined coordinates calculation rule to the values of the output plurality of coordinate indications and the plurality of parity indications, wherein the error detection formula is based on a parity generation formula that generates the plurality of parity indications, the parity generation formula includes at least one parity indication calculation equation which includes a X-coordinate indication and a Y-coordinate indication.

20. The apparatus of claim 19 , wherein the plurality of coordinate indications and the plurality of parity indications have predetermined patterns defined as predetermined values, and wherein the recognizer determines the predetermined values corresponding to the predetermined patterns of the plurality of coordinate indications and the plurality of parity indications as the values of the plurality of coordinate indications and the plurality of parity indications.

21. The apparatus of claim 20 , wherein the error detection and correction unit determines that an error has been detected, when the determined values of the plurality of coordinate indications and the plurality of parity indications do not satisfy the error detection formula.

22. The apparatus of claim 19 , wherein the parity generation formula includes a plurality of parity indication calculation equations corresponding to the plurality of parity indications, and each of the parity indication calculation equations includes at least two of the plurality of coordinate indications.

23. The apparatus of claim 22 , wherein, when an error is generated in at least one coordinate indication, at least one of values of the plurality of parity indications calculated by the parity generation formula is different from the determined value of a parity indication.

25. The apparatus of claim 23 , wherein each of the parity indication calculation equations included in the parity generation formula includes all of the plurality of coordinate indications, and wherein, when as many errors as the number of the plurality of parity indications are generated and one of the errors is generated in one of the plurality of the coordinate indications, at least one of the values of the plurality of parity indications calculated by the parity generation formula is different from the determined value of a parity indication.

27. The apparatus of claim 19 , wherein, when an error has been detected in the determined values of the plurality of coordinate indications and the plurality of parity indications, the error detection and correction unit determines whether the detected error is correctable, corrects the determined values of the plurality of coordinate indications according to a predetermined error correction rule, when the detected error is correctable, and outputs the corrected values of the plurality of coordinate indications.

28. The apparatus of claim 19 , wherein the apparatus is included in the electronic pen.

29. An apparatus to detect coordinates of a position on a display based on a plurality of pixel groups arranged on the display, the apparatus comprising: a recognizer configured to: detect a reference point in an image of a pixel group corresponding to a specific position by processing the image of the pixel group, the image of pixel group being captured by a camera provided in an electronic pen, when the electronic pen points to the specific position on the display, and determine values of a plurality of coordinate indications and a plurality of parity indications corresponding to the position of the pixel group; an error detection and correction unit configured to: determine whether an error has been detected in the determined values of the plurality of coordinate indications by applying a predetermined error detection formula to the determined values of the plurality of coordinate indications and the plurality of parity indications, and output the determined values of the plurality of coordinate indications, when no error has been detected in the determined values of the plurality of coordinate indications and the plurality of parity indications; and a coordinates decider configured to determine final coordinates of the electronic pen by applying a predetermined coordinates calculation rule to the output values of the plurality of coordinate indications, wherein the error detection formula is based on a parity generation formula that generates the plurality of parity indications, the parity generation formula includes at least one parity indication calculation equation which includes a X-coordinate indication and a Y-coordinate indication.

30. The apparatus of claim 29 , wherein the plurality of coordinate indications and the plurality of parity indications have predetermined patterns defined as predetermined values, and wherein the recognizer determines the predetermined values corresponding to the predetermined patterns of the plurality of coordinate indications and the plurality of parity indications as the values of the plurality of coordinate indications and the plurality of parity indications.

31. The apparatus of claim 30 , wherein, when the determined values of the plurality of coordinate indications and the plurality of parity indications do not satisfy the error detection formula, the error detection and correction unit determines that an error has been detected.

32. The apparatus of claim 30 , wherein the parity generation formula includes a plurality of parity indication calculation equations corresponding to the plurality of parity indications, and each of the parity indication calculation equations includes at least two of the plurality of coordinate indications.

33. The apparatus of claim 32 , wherein, when an error is generated in at least one coordinate indication, at least one of values of the plurality of parity indications calculated by the parity generation formula is different from the determined value of a parity indication.

35. The apparatus of claim 33 , wherein each of the parity indication calculation equations included in the parity generation formula includes all of the plurality of coordinate indications, and wherein, when as many errors as the number of the plurality of parity indications are generated and one of the errors is generated in one of the plurality of the coordinate indications, at least one of the values of the plurality of parity indications calculated by the parity generation formula is different from the determined value of a parity indication.

37. The apparatus of claim 29 , wherein, when an error has been detected in the determined values of the plurality of coordinate indications and the plurality of parity indications, the error detection and correction unit determines whether the detected error is correctable, corrects the determined values of the plurality of coordinate indications according to a predetermined error correction rule, when the detected error is correctable, and outputs the corrected values of the plurality of coordinate indications.